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Generation of grain maps by an algebraic reconstruction technique
Author(s) -
Fu Xiaowei,
Poulsen H. F.
Publication year - 2003
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889803011063
Subject(s) - diffraction , grain size , layer (electronics) , algebraic number , algebraic reconstruction technique , materials science , aluminium , grain boundary , search engine indexing , crystallography , optics , mathematics , physics , computer science , tomography , composite material , microstructure , chemistry , mathematical analysis , artificial intelligence
A reconstruction method is presented for the generation of three‐dimensional maps of the grain boundaries within powders or polycrystals. The grains are assumed to have a mosaic spread below 1°. They are mapped layer by layer in a non‐destructive way by diffraction with hard X‐rays. First the diffraction spots are sorted with respect to grain of origin by the indexing program GRAINDEX . Next for each grain the reconstruction is performed by ART – an iterative algebraic algorithm. The method is optimized by simulations. It is verified by a 50 keV study on one embedded layer in an aluminium specimen. The layer comprises ∼50 grain sections of an average size of 100 µm. Based on the use of five reflections per grain, a resolution of ∼5 µm is inferred.